R e g u l a r p a p e r s

Moscow University Physics Bulletin 1967. **22**. N 2. P. 4

The forces acting in free space on a bunched plasma of spherical form when a plane electromagnetic wave is incident on it are calculated. The dependence of the energy of the plasma on the acceleration time and on the path covered by the plasma is derived.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 7

Results are given of some computer calculations of the rotation of the plane of polarization and the phase change in a circular waveguide with a ferrite rod, and they are compared with experimental data. Two methods of computation are used. The first is based on the solution of a transcendental equation, and the second reduces the initial electrodynamic problem to the solution of a boundary value problem for a set of ordinary differential equations. The second method, applied in the present case to the design of a Faraday rotator, facilitates the design of quite complicated ferrite structures. The results are in good qualitative agreement with experiment.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 11

The Wiener-Hopf method [2] is used to find the field excited by a distributed rotationally symmetric charged bunch traveling along the axis of a semiinfinite circular waveguide with finite wall conductance. The radiation fields are obtained for the bunch traveling past the open end and in the interior of the waveguide. From these results, the forces acting on the bunch can be found. The results also hold at relativistic velocities.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 15

The present paper is a natural continuation of [1, 2]. It shows that perturbation theory can be used in a Heisenberg version of the unified nonlinear theory of elementary particles. Though perturbation theory can be used, propagators which include the contributions of dipole phantom states must be employed as the convolutions. The theory then becomes renormalizable (even finite), while the vacuum spiral degeneracy is automatically removable. We use this method to evaluate the mass of the fundamental fermion (nucleon), for which a well-defined finite value, dependent on the form of the nonlinear Lagrangian, is obtained.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 20

The problem of the interaction between fixed quantum fermions and bosons is considered, and its solution is used to describe the multiple creation of bosons.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 23

A description is given of an electronic system and method of continuously recording the temperature to an accuracy of 0.05°С and the pressure to 1% in the surface layer of the sea to a depth of 250 m. The method of operating the equipment under sea conditions is described. Examples are given of records of the temperature distribution with depth, as well as certain results obtained from vertical sounding during a twenty-four hour period on the Black Sea.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 27

The synchronous and cyclotron waves of an electron beam in a resonator with a transverse field, which varies sinusoidally along the direction of propagation, are studied. The existence of increasing solutions is demonstrated. The frequency characteristics of the beam interaction in the resonator are given.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 31

It was proposed that use of the root locus method together with the principle of harmonic balance be applied to the study of a third-order nonlinear system with delay. The conditions under which the proposed method can be used are explained.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 34

Expressions are obtained for the light absorption coefficient, taking attenuation into account. Scattering by impurities and by optical phonons is examined. The results are given graphically. The part played by the different scattering mechanisms is discussed.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 39

Solutions of the problem of two fixed centers, obtained by means of power series and in quadratures in the plane case, are compared.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 42

The temperature dependence and the curie points of compounds of aluminum lithium ferrite possessing a spinel structure have been measured. Using the method of Rado and Folen [l] the molecular field coefficients α, β and n are determined for four compositions. It was established that with the introduction of Al^{3+} into the lithium ferrite the BB interaction becomes stronger than the AA interaction. From the data concerning the coefficients it is concluded that in ferrites possessing temperature compensation of the magnetic moments of the sublattices [curve of 𝜎s(T)of type N), the exchange interaction within each sublattice plays a significant role.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 46

A description is given of a bottom gradient device which is an automatic system for simultaneously recording the modulus of speed at five levels from the bottom as well as the direction of the bottom currents.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 49

The distribution of standing waves in an unbounded one-dimensional crystal is considered in a linear approximation on the basis of Vlasov's equation. Particular attention is paid to a crystal existing under conditions approaching those of crystallization. A method is developed for the step-by-step determination of the distribution function. A relationship is derived between the frequency of the wave and the wave vector, and the particular case of Bragg reflection is considered.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 62

B r i e f r e p o r t s

Moscow University Physics Bulletin 1967. **22**. N 2. P. 1

Three types of nonlinear electromagnetic field equations are considered, corresponding to three types of nonlinear terms: a field function of arbitrary degree, the derivative of a function of arbitrary degree, and a mixed term in a function and derivative. For each equation three types of solution are considered, corresponding to three types of argument, reducing the nonlinear partial differential equation to a nonlinear ordinary differential equation. The possibility of these equations having particle-like solution is examined. Only an equation whose nonlinearity is in the function can have a particle-like solution.

Show AbstractMoscow University Physics Bulletin 1967. **22**. N 2. P. 54

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